1024worksheet2

# 1024worksheet2 - x ) = 4 + ln x , ﬁnd its inverse g and...

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Polytechnic Institute of NYU MA 1024 Worksheet 2 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 Total 100 1

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2 (1) Form the composition f g and give its domain: (a) f ( x ) = 1 x , g ( x ) = x - 2 x (b) f ( x ) = 1 - x 2 , g ( x ) = cos 2 x
3 (2) Find the composition f/g , where f ( x ) = 2 x - 3, g ( x ) = 2 - x and give its domain.

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4 (3) Find the composition f g h , where f ( x ) = 4 x , g ( x ) = x - 1, h ( x ) = x 2 and give its domain.
5 (4) Give the domain of f ( x ), ﬁnd its inverse g and give its domain. (a) f ( x ) = 3 x - 4 (b) f ( x ) = x + 5 x + 2

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6 (5) Are the functions even, odd or neither? (a) g ( x ) = x ( x - 1) (b) F ( x ) = x + 1 x (c) G ( x ) = e x - 2 x (d) h ( x ) = x 5 - x x 2 + x 4
7 (6) Solve for x the following equation using logs: 5 · 4 x = 8 · 5 x

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8 (7) Solve for x . log 2 ( x 2 - 6 x ) = 3 + log 2 (1 - x )
9 (8) Give the range of f (

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Unformatted text preview: x ) = 4 + ln x , ﬁnd its inverse g and give its domain. 10 (9) In 2009, Eva invested 100 thousand dollars into the stock market. For the next 5 years, the investment declines 5% every year. In 2014, the investment begins to gain 7% every year. In what year, will the investment regain at least its initial value? 11 (10) The half-life of strontium-90 is 29 years. In 1960, radioactive strontium-90 was released during atmospheric testing of nuclear weapons, and was absorbed into people’s bones. How many years does it take until only 5% of the original amount absorbed remains?...
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## This note was uploaded on 12/09/2009 for the course MA 1024/1324 taught by Professor N/a during the Spring '09 term at NYU Poly.

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1024worksheet2 - x ) = 4 + ln x , ﬁnd its inverse g and...

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